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Finding the Fourth Proportional to 15.32, 23.12 and 15.32

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Solution

The fourth proportional to 15.32, 23.12 and 15.32 is: 23.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.32 : 23.12 = 15.32 : x
  2. Step 2: Convert to fraction form
    15.32/23.12 = 15.32/x
  3. Step 3: Cross multiply
    15.32x = 23.12 × 15.32
  4. Step 4: Simplify right side
    15.32x = 354.25
  5. Step 5: Solve for x
    x = 354.25/15.32
  6. Step 6: Final answer
    x = 23.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.